Response of a nonlinear vibrator governed by a certain partial differential equation

1 February 1979

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 24 (1) , 137-138
https://doi.org/10.1109/tac.1979.1101960

Abstract

The asymptotic solutions of a certain partial differential equation governing file oscillations for a nonlinear vibrator are obtained. The perturbing force of the vibrator consists of an autonomous part and an external force depending on time which may or may not be periodic in time.

Keywords

PARTIAL DIFFERENTIAL EQUATIONS
DIFFERENTIAL EQUATIONS
BOUNDARY CONDITIONS
YTTRIUM
NONLINEAR EQUATIONS
BOUNDARY VALUE PROBLEMS
RESONANCE
MATHEMATICS
FREQUENCY
FOURIER SERIES

This publication has 2 references indexed in Scilit:

Response of a nonlinear vibrator under the influence of a time-dependent external force
IEEE Transactions on Automatic Control, 1975
Monofrequent oscillations in mechanical systems governed by second order hyperbolic differential equations with small non-linearities
International Journal of Non-Linear Mechanics, 1973